Abstract
Morphoelasticity is the theory of growing elastic materials. The theory is based on the multiplicative decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing non-linear elastic Kirchhoff plate is described. First, a complete geometric description of incompatibility with simple examples is given. Second, the stability of growing Kirchhoff plates is analyzed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 833-871 |
| Number of pages | 39 |
| Journal | Mathematics and Mechanics of Solids |
| Volume | 16 |
| Issue number | 8 |
| DOIs | |
| State | Published - Oct 2011 |
Keywords
- Kirchhoff plates
- buckling
- growth
- non-linear elasticity
- residual stress
ASJC Scopus subject areas
- General Mathematics
- General Materials Science
- Mechanics of Materials
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